Question

Explain how to write a function rule from the table below. Then write a function rule.

x 0 2 4 6
y 3 2 1 0

Answer 1

To write a function rule, we need to identify a pattern between the values of x and y.

Looking at the table, we can see that as x increases by 2, y decreases by 1. This tells us that the function is linear and has a slope of -1/2 (since y decreases by 1 every 2 units of x).

Using point-slope form, we can write the function rule:

y - 3 = (-1/2) (x - 0)

Simplifying, we get:

y = (-1/2) x + 3

Therefore, the function rule for this table is: y = (-1/2) x + 3.